From the dimensional consideration, which of the following equation is correct
$T = 2\pi \sqrt {\frac{{{R^3}}}{{GM}}} $
$T = 2\pi \sqrt {\frac{{GM}}{{{R^3}}}} $
$T = 2\pi \sqrt {\frac{{GM}}{{{R^2}}}} $
$T = 2\pi \sqrt {\frac{{{R^2}}}{{GM}}} $
The dimensions of solar constant (energy falling on earth per second per unit area) are
The dimensions of impulse are equal to that of
Force $(F)$ and density $(d)$ are related as $F\, = \,\frac{\alpha }{{\beta \, + \,\sqrt d }}$ then dimension of $\alpha $ are
The physical quantity $'$Energy Density$'$ has same dimensional formula as
The potential energy of a particle varies with distance $x$ from a fixed origin as $V = \frac{{A\sqrt x }}{{x + B}}$,where
$A$ and $B$ are constants. The dimensions of $AB$ are